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Finding the Fourth Proportional to 6,587.76, 9,072.80 and 6,095.28

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Solution

The fourth proportional to 6,587.76, 9,072.80 and 6,095.28 is: 8,394.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,587.76 : 9,072.80 = 6,095.28 : x
  2. Step 2: Convert to fraction form
    6,587.76/9,072.80 = 6,095.28/x
  3. Step 3: Cross multiply
    6,587.76x = 9,072.80 × 6,095.28
  4. Step 4: Simplify right side
    6,587.76x = 55,301,256.38
  5. Step 5: Solve for x
    x = 55,301,256.38/6,587.76
  6. Step 6: Final answer
    x = 8,394.55

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Why These Related Problems?

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