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Finding the Fourth Proportional to 10,302.40, 15,509.82 and 7,036.16

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Solution

The fourth proportional to 10,302.40, 15,509.82 and 7,036.16 is: 10,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.40 : 15,509.82 = 7,036.16 : x
  2. Step 2: Convert to fraction form
    10,302.40/15,509.82 = 7,036.16/x
  3. Step 3: Cross multiply
    10,302.40x = 15,509.82 × 7,036.16
  4. Step 4: Simplify right side
    10,302.40x = 109,129,575.09
  5. Step 5: Solve for x
    x = 109,129,575.09/10,302.40
  6. Step 6: Final answer
    x = 10,592.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.