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Finding the Fourth Proportional to 8,506.40, 12,732.29 and 4,547.76

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Solution

The fourth proportional to 8,506.40, 12,732.29 and 4,547.76 is: 6,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.40 : 12,732.29 = 4,547.76 : x
  2. Step 2: Convert to fraction form
    8,506.40/12,732.29 = 4,547.76/x
  3. Step 3: Cross multiply
    8,506.40x = 12,732.29 × 4,547.76
  4. Step 4: Simplify right side
    8,506.40x = 57,903,410.54
  5. Step 5: Solve for x
    x = 57,903,410.54/8,506.40
  6. Step 6: Final answer
    x = 6,807.04

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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.