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Finding the Fourth Proportional to 7,776, 10,730.88 and 5,788.26

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Solution

The fourth proportional to 7,776, 10,730.88 and 5,788.26 is: 7,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 10,730.88 = 5,788.26 : x
  2. Step 2: Convert to fraction form
    7,776/10,730.88 = 5,788.26/x
  3. Step 3: Cross multiply
    7,776x = 10,730.88 × 5,788.26
  4. Step 4: Simplify right side
    7,776x = 62,113,123.47
  5. Step 5: Solve for x
    x = 62,113,123.47/7,776
  6. Step 6: Final answer
    x = 7,987.80

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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.