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Finding the Fourth Proportional to 7,061.77, 9,730.29 and 5,798.58

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Solution

The fourth proportional to 7,061.77, 9,730.29 and 5,798.58 is: 7,989.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.77 : 9,730.29 = 5,798.58 : x
  2. Step 2: Convert to fraction form
    7,061.77/9,730.29 = 5,798.58/x
  3. Step 3: Cross multiply
    7,061.77x = 9,730.29 × 5,798.58
  4. Step 4: Simplify right side
    7,061.77x = 56,421,864.99
  5. Step 5: Solve for x
    x = 56,421,864.99/7,061.77
  6. Step 6: Final answer
    x = 7,989.76

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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.