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Finding the Fourth Proportional to 10,177.62, 14,030.65 and 7,484.10

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Solution

The fourth proportional to 10,177.62, 14,030.65 and 7,484.10 is: 10,317.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,177.62 : 14,030.65 = 7,484.10 : x
  2. Step 2: Convert to fraction form
    10,177.62/14,030.65 = 7,484.10/x
  3. Step 3: Cross multiply
    10,177.62x = 14,030.65 × 7,484.10
  4. Step 4: Simplify right side
    10,177.62x = 105,006,787.67
  5. Step 5: Solve for x
    x = 105,006,787.67/10,177.62
  6. Step 6: Final answer
    x = 10,317.42

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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.