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Finding the Fourth Proportional to 10,052.49, 15,078.77 and 4,205.00

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Solution

The fourth proportional to 10,052.49, 15,078.77 and 4,205.00 is: 6,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052.49 : 15,078.77 = 4,205.00 : x
  2. Step 2: Convert to fraction form
    10,052.49/15,078.77 = 4,205.00/x
  3. Step 3: Cross multiply
    10,052.49x = 15,078.77 × 4,205.00
  4. Step 4: Simplify right side
    10,052.49x = 63,406,152.46
  5. Step 5: Solve for x
    x = 63,406,152.46/10,052.49
  6. Step 6: Final answer
    x = 6,307.51

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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.