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Finding the Fourth Proportional to 10,341.74, 14,271.71 and 5,626.03

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Solution

The fourth proportional to 10,341.74, 14,271.71 and 5,626.03 is: 7,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,341.74 : 14,271.71 = 5,626.03 : x
  2. Step 2: Convert to fraction form
    10,341.74/14,271.71 = 5,626.03/x
  3. Step 3: Cross multiply
    10,341.74x = 14,271.71 × 5,626.03
  4. Step 4: Simplify right side
    10,341.74x = 80,293,068.61
  5. Step 5: Solve for x
    x = 80,293,068.61/10,341.74
  6. Step 6: Final answer
    x = 7,763.98

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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.