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Finding the Fourth Proportional to 10,603.68, 15,911.67 and 4,364.32

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Solution

The fourth proportional to 10,603.68, 15,911.67 and 4,364.32 is: 6,549.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.68 : 15,911.67 = 4,364.32 : x
  2. Step 2: Convert to fraction form
    10,603.68/15,911.67 = 4,364.32/x
  3. Step 3: Cross multiply
    10,603.68x = 15,911.67 × 4,364.32
  4. Step 4: Simplify right side
    10,603.68x = 69,443,619.61
  5. Step 5: Solve for x
    x = 69,443,619.61/10,603.68
  6. Step 6: Final answer
    x = 6,549.01

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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.