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Finding the Fourth Proportional to 10,417.84, 14,355.84 and 7,428.40

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Solution

The fourth proportional to 10,417.84, 14,355.84 and 7,428.40 is: 10,236.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.84 : 14,355.84 = 7,428.40 : x
  2. Step 2: Convert to fraction form
    10,417.84/14,355.84 = 7,428.40/x
  3. Step 3: Cross multiply
    10,417.84x = 14,355.84 × 7,428.40
  4. Step 4: Simplify right side
    10,417.84x = 106,640,921.86
  5. Step 5: Solve for x
    x = 106,640,921.86/10,417.84
  6. Step 6: Final answer
    x = 10,236.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.