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Finding the Fourth Proportional to 10,356.84, 15,513.80 and 5,411.52

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Solution

The fourth proportional to 10,356.84, 15,513.80 and 5,411.52 is: 8,106.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.84 : 15,513.80 = 5,411.52 : x
  2. Step 2: Convert to fraction form
    10,356.84/15,513.80 = 5,411.52/x
  3. Step 3: Cross multiply
    10,356.84x = 15,513.80 × 5,411.52
  4. Step 4: Simplify right side
    10,356.84x = 83,953,211.92
  5. Step 5: Solve for x
    x = 83,953,211.92/10,356.84
  6. Step 6: Final answer
    x = 8,106.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.