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Finding the Fourth Proportional to 11,526.16, 15,901.80 and 7,549.48

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Solution

The fourth proportional to 11,526.16, 15,901.80 and 7,549.48 is: 10,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,526.16 : 15,901.80 = 7,549.48 : x
  2. Step 2: Convert to fraction form
    11,526.16/15,901.80 = 7,549.48/x
  3. Step 3: Cross multiply
    11,526.16x = 15,901.80 × 7,549.48
  4. Step 4: Simplify right side
    11,526.16x = 120,050,321.06
  5. Step 5: Solve for x
    x = 120,050,321.06/11,526.16
  6. Step 6: Final answer
    x = 10,415.47

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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.