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Finding the Fourth Proportional to 7,712.61, 10,642.80 and 4,355.76

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Solution

The fourth proportional to 7,712.61, 10,642.80 and 4,355.76 is: 6,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.61 : 10,642.80 = 4,355.76 : x
  2. Step 2: Convert to fraction form
    7,712.61/10,642.80 = 4,355.76/x
  3. Step 3: Cross multiply
    7,712.61x = 10,642.80 × 4,355.76
  4. Step 4: Simplify right side
    7,712.61x = 46,357,454.41
  5. Step 5: Solve for x
    x = 46,357,454.41/7,712.61
  6. Step 6: Final answer
    x = 6,010.60

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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.