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Finding the Fourth Proportional to 10,775.57, 14,868.56 and 6,525.90

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Solution

The fourth proportional to 10,775.57, 14,868.56 and 6,525.90 is: 9,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,775.57 : 14,868.56 = 6,525.90 : x
  2. Step 2: Convert to fraction form
    10,775.57/14,868.56 = 6,525.90/x
  3. Step 3: Cross multiply
    10,775.57x = 14,868.56 × 6,525.90
  4. Step 4: Simplify right side
    10,775.57x = 97,030,752.02
  5. Step 5: Solve for x
    x = 97,030,752.02/10,775.57
  6. Step 6: Final answer
    x = 9,004.70

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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.