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Finding the Fourth Proportional to 10,365.36, 15,537 and 7,070.28

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Solution

The fourth proportional to 10,365.36, 15,537 and 7,070.28 is: 10,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.36 : 15,537 = 7,070.28 : x
  2. Step 2: Convert to fraction form
    10,365.36/15,537 = 7,070.28/x
  3. Step 3: Cross multiply
    10,365.36x = 15,537 × 7,070.28
  4. Step 4: Simplify right side
    10,365.36x = 109,850,940.36
  5. Step 5: Solve for x
    x = 109,850,940.36/10,365.36
  6. Step 6: Final answer
    x = 10,597.89

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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.