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Finding the Fourth Proportional to 11,562.10, 15,955.75 and 6,526.53

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Solution

The fourth proportional to 11,562.10, 15,955.75 and 6,526.53 is: 9,006.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.10 : 15,955.75 = 6,526.53 : x
  2. Step 2: Convert to fraction form
    11,562.10/15,955.75 = 6,526.53/x
  3. Step 3: Cross multiply
    11,562.10x = 15,955.75 × 6,526.53
  4. Step 4: Simplify right side
    11,562.10x = 104,135,681.05
  5. Step 5: Solve for x
    x = 104,135,681.05/11,562.10
  6. Step 6: Final answer
    x = 9,006.64

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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.