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Finding the Fourth Proportional to 10,387.84, 14,314.62 and 7,398.40

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Solution

The fourth proportional to 10,387.84, 14,314.62 and 7,398.40 is: 10,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.84 : 14,314.62 = 7,398.40 : x
  2. Step 2: Convert to fraction form
    10,387.84/14,314.62 = 7,398.40/x
  3. Step 3: Cross multiply
    10,387.84x = 14,314.62 × 7,398.40
  4. Step 4: Simplify right side
    10,387.84x = 105,905,284.61
  5. Step 5: Solve for x
    x = 105,905,284.61/10,387.84
  6. Step 6: Final answer
    x = 10,195.12

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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.