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Finding the Fourth Proportional to 10,775.76, 14,870.24 and 6,529.34

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Solution

The fourth proportional to 10,775.76, 14,870.24 and 6,529.34 is: 9,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.76 : 14,870.24 = 6,529.34 : x
  2. Step 2: Convert to fraction form
    10,775.76/14,870.24 = 6,529.34/x
  3. Step 3: Cross multiply
    10,775.76x = 14,870.24 × 6,529.34
  4. Step 4: Simplify right side
    10,775.76x = 97,092,794.81
  5. Step 5: Solve for x
    x = 97,092,794.81/10,775.76
  6. Step 6: Final answer
    x = 9,010.30

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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.