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Finding the Fourth Proportional to 10,070.96, 15,106.32 and 7,097.12

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Solution

The fourth proportional to 10,070.96, 15,106.32 and 7,097.12 is: 10,645.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,070.96 : 15,106.32 = 7,097.12 : x
  2. Step 2: Convert to fraction form
    10,070.96/15,106.32 = 7,097.12/x
  3. Step 3: Cross multiply
    10,070.96x = 15,106.32 × 7,097.12
  4. Step 4: Simplify right side
    10,070.96x = 107,211,365.80
  5. Step 5: Solve for x
    x = 107,211,365.80/10,070.96
  6. Step 6: Final answer
    x = 10,645.60

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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.