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Finding the Fourth Proportional to 7,089.60, 10,646.88 and 6,131.52

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Solution

The fourth proportional to 7,089.60, 10,646.88 and 6,131.52 is: 9,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.60 : 10,646.88 = 6,131.52 : x
  2. Step 2: Convert to fraction form
    7,089.60/10,646.88 = 6,131.52/x
  3. Step 3: Cross multiply
    7,089.60x = 10,646.88 × 6,131.52
  4. Step 4: Simplify right side
    7,089.60x = 65,281,557.66
  5. Step 5: Solve for x
    x = 65,281,557.66/7,089.60
  6. Step 6: Final answer
    x = 9,208.07

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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.