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Finding the Fourth Proportional to 7,158.60, 10,733.52 and 6,547.44

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Solution

The fourth proportional to 7,158.60, 10,733.52 and 6,547.44 is: 9,817.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158.60 : 10,733.52 = 6,547.44 : x
  2. Step 2: Convert to fraction form
    7,158.60/10,733.52 = 6,547.44/x
  3. Step 3: Cross multiply
    7,158.60x = 10,733.52 × 6,547.44
  4. Step 4: Simplify right side
    7,158.60x = 70,277,078.19
  5. Step 5: Solve for x
    x = 70,277,078.19/7,158.60
  6. Step 6: Final answer
    x = 9,817.15

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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.