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Finding the Fourth Proportional to 10,014.95, 15,014.32 and 4,175.93

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Solution

The fourth proportional to 10,014.95, 15,014.32 and 4,175.93 is: 6,260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.95 : 15,014.32 = 4,175.93 : x
  2. Step 2: Convert to fraction form
    10,014.95/15,014.32 = 4,175.93/x
  3. Step 3: Cross multiply
    10,014.95x = 15,014.32 × 4,175.93
  4. Step 4: Simplify right side
    10,014.95x = 62,698,663.81
  5. Step 5: Solve for x
    x = 62,698,663.81/10,014.95
  6. Step 6: Final answer
    x = 6,260.51

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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.