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Finding the Fourth Proportional to 8,547.60, 12,736.42 and 7,616

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Solution

The fourth proportional to 8,547.60, 12,736.42 and 7,616 is: 11,348.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.60 : 12,736.42 = 7,616 : x
  2. Step 2: Convert to fraction form
    8,547.60/12,736.42 = 7,616/x
  3. Step 3: Cross multiply
    8,547.60x = 12,736.42 × 7,616
  4. Step 4: Simplify right side
    8,547.60x = 97,000,574.72
  5. Step 5: Solve for x
    x = 97,000,574.72/8,547.60
  6. Step 6: Final answer
    x = 11,348.28

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Why These Related Problems?

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