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Finding the Fourth Proportional to 10,053.30, 13,875.23 and 5,578.50

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Solution

The fourth proportional to 10,053.30, 13,875.23 and 5,578.50 is: 7,699.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.30 : 13,875.23 = 5,578.50 : x
  2. Step 2: Convert to fraction form
    10,053.30/13,875.23 = 5,578.50/x
  3. Step 3: Cross multiply
    10,053.30x = 13,875.23 × 5,578.50
  4. Step 4: Simplify right side
    10,053.30x = 77,403,036.53
  5. Step 5: Solve for x
    x = 77,403,036.53/10,053.30
  6. Step 6: Final answer
    x = 7,699.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.