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Finding the Fourth Proportional to 10,538.47, 15,803.03 and 5,607.07

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Solution

The fourth proportional to 10,538.47, 15,803.03 and 5,607.07 is: 8,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,538.47 : 15,803.03 = 5,607.07 : x
  2. Step 2: Convert to fraction form
    10,538.47/15,803.03 = 5,607.07/x
  3. Step 3: Cross multiply
    10,538.47x = 15,803.03 × 5,607.07
  4. Step 4: Simplify right side
    10,538.47x = 88,608,667.39
  5. Step 5: Solve for x
    x = 88,608,667.39/10,538.47
  6. Step 6: Final answer
    x = 8,408.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.