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Finding the Fourth Proportional to 10,570.90, 15,880.66 and 7,458.08

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Solution

The fourth proportional to 10,570.90, 15,880.66 and 7,458.08 is: 11,204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.90 : 15,880.66 = 7,458.08 : x
  2. Step 2: Convert to fraction form
    10,570.90/15,880.66 = 7,458.08/x
  3. Step 3: Cross multiply
    10,570.90x = 15,880.66 × 7,458.08
  4. Step 4: Simplify right side
    10,570.90x = 118,439,232.73
  5. Step 5: Solve for x
    x = 118,439,232.73/10,570.90
  6. Step 6: Final answer
    x = 11,204.27

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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.