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Finding the Fourth Proportional to 10,477.12, 15,705.30 and 4,920.52

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Solution

The fourth proportional to 10,477.12, 15,705.30 and 4,920.52 is: 7,375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.12 : 15,705.30 = 4,920.52 : x
  2. Step 2: Convert to fraction form
    10,477.12/15,705.30 = 4,920.52/x
  3. Step 3: Cross multiply
    10,477.12x = 15,705.30 × 4,920.52
  4. Step 4: Simplify right side
    10,477.12x = 77,278,242.76
  5. Step 5: Solve for x
    x = 77,278,242.76/10,477.12
  6. Step 6: Final answer
    x = 7,375.91

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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.