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Finding the Fourth Proportional to 10,690.53, 14,752.45 and 6,152.86

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Solution

The fourth proportional to 10,690.53, 14,752.45 and 6,152.86 is: 8,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.53 : 14,752.45 = 6,152.86 : x
  2. Step 2: Convert to fraction form
    10,690.53/14,752.45 = 6,152.86/x
  3. Step 3: Cross multiply
    10,690.53x = 14,752.45 × 6,152.86
  4. Step 4: Simplify right side
    10,690.53x = 90,769,802.94
  5. Step 5: Solve for x
    x = 90,769,802.94/10,690.53
  6. Step 6: Final answer
    x = 8,490.67

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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.