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Finding the Fourth Proportional to 10,465.46, 14,442.54 and 5,750

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Solution

The fourth proportional to 10,465.46, 14,442.54 and 5,750 is: 7,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.46 : 14,442.54 = 5,750 : x
  2. Step 2: Convert to fraction form
    10,465.46/14,442.54 = 5,750/x
  3. Step 3: Cross multiply
    10,465.46x = 14,442.54 × 5,750
  4. Step 4: Simplify right side
    10,465.46x = 83,044,605
  5. Step 5: Solve for x
    x = 83,044,605/10,465.46
  6. Step 6: Final answer
    x = 7,935.11

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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.