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Finding the Fourth Proportional to 10,465.35, 15,698.03 and 6,572.49

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Solution

The fourth proportional to 10,465.35, 15,698.03 and 6,572.49 is: 9,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.35 : 15,698.03 = 6,572.49 : x
  2. Step 2: Convert to fraction form
    10,465.35/15,698.03 = 6,572.49/x
  3. Step 3: Cross multiply
    10,465.35x = 15,698.03 × 6,572.49
  4. Step 4: Simplify right side
    10,465.35x = 103,175,145.19
  5. Step 5: Solve for x
    x = 103,175,145.19/10,465.35
  6. Step 6: Final answer
    x = 9,858.74

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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.