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Finding the Fourth Proportional to 8,690.58, 12,972.26 and 7,465.86

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Solution

The fourth proportional to 8,690.58, 12,972.26 and 7,465.86 is: 11,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.58 : 12,972.26 = 7,465.86 : x
  2. Step 2: Convert to fraction form
    8,690.58/12,972.26 = 7,465.86/x
  3. Step 3: Cross multiply
    8,690.58x = 12,972.26 × 7,465.86
  4. Step 4: Simplify right side
    8,690.58x = 96,849,039.71
  5. Step 5: Solve for x
    x = 96,849,039.71/8,690.58
  6. Step 6: Final answer
    x = 11,144.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.