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Finding the Fourth Proportional to 10,318.53, 15,477.76 and 7,023.45

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Solution

The fourth proportional to 10,318.53, 15,477.76 and 7,023.45 is: 10,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,318.53 : 15,477.76 = 7,023.45 : x
  2. Step 2: Convert to fraction form
    10,318.53/15,477.76 = 7,023.45/x
  3. Step 3: Cross multiply
    10,318.53x = 15,477.76 × 7,023.45
  4. Step 4: Simplify right side
    10,318.53x = 108,707,273.47
  5. Step 5: Solve for x
    x = 108,707,273.47/10,318.53
  6. Step 6: Final answer
    x = 10,535.15

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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.