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Finding the Fourth Proportional to 6,526.91, 9,011.82 and 4,012.40

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Solution

The fourth proportional to 6,526.91, 9,011.82 and 4,012.40 is: 5,539.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.91 : 9,011.82 = 4,012.40 : x
  2. Step 2: Convert to fraction form
    6,526.91/9,011.82 = 4,012.40/x
  3. Step 3: Cross multiply
    6,526.91x = 9,011.82 × 4,012.40
  4. Step 4: Simplify right side
    6,526.91x = 36,158,981.51
  5. Step 5: Solve for x
    x = 36,158,981.51/6,526.91
  6. Step 6: Final answer
    x = 5,539.98

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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.