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Finding the Fourth Proportional to 10,530.90, 14,532.21 and 6,748.74

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Solution

The fourth proportional to 10,530.90, 14,532.21 and 6,748.74 is: 9,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.90 : 14,532.21 = 6,748.74 : x
  2. Step 2: Convert to fraction form
    10,530.90/14,532.21 = 6,748.74/x
  3. Step 3: Cross multiply
    10,530.90x = 14,532.21 × 6,748.74
  4. Step 4: Simplify right side
    10,530.90x = 98,074,106.92
  5. Step 5: Solve for x
    x = 98,074,106.92/10,530.90
  6. Step 6: Final answer
    x = 9,312.98

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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.