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Finding the Fourth Proportional to 10,386.84, 14,313.24 and 7,397.40

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Solution

The fourth proportional to 10,386.84, 14,313.24 and 7,397.40 is: 10,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,386.84 : 14,313.24 = 7,397.40 : x
  2. Step 2: Convert to fraction form
    10,386.84/14,313.24 = 7,397.40/x
  3. Step 3: Cross multiply
    10,386.84x = 14,313.24 × 7,397.40
  4. Step 4: Simplify right side
    10,386.84x = 105,880,761.58
  5. Step 5: Solve for x
    x = 105,880,761.58/10,386.84
  6. Step 6: Final answer
    x = 10,193.74

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