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Finding the Fourth Proportional to 11,425.84, 15,763.02 and 7,445.50

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Solution

The fourth proportional to 11,425.84, 15,763.02 and 7,445.50 is: 10,271.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,425.84 : 15,763.02 = 7,445.50 : x
  2. Step 2: Convert to fraction form
    11,425.84/15,763.02 = 7,445.50/x
  3. Step 3: Cross multiply
    11,425.84x = 15,763.02 × 7,445.50
  4. Step 4: Simplify right side
    11,425.84x = 117,363,565.41
  5. Step 5: Solve for x
    x = 117,363,565.41/11,425.84
  6. Step 6: Final answer
    x = 10,271.77

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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.