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Finding the Fourth Proportional to 7,849.52, 10,802.76 and 6,587.60

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Solution

The fourth proportional to 7,849.52, 10,802.76 and 6,587.60 is: 9,066.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849.52 : 10,802.76 = 6,587.60 : x
  2. Step 2: Convert to fraction form
    7,849.52/10,802.76 = 6,587.60/x
  3. Step 3: Cross multiply
    7,849.52x = 10,802.76 × 6,587.60
  4. Step 4: Simplify right side
    7,849.52x = 71,164,261.78
  5. Step 5: Solve for x
    x = 71,164,261.78/7,849.52
  6. Step 6: Final answer
    x = 9,066.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.