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Finding the Fourth Proportional to 7,670.01, 10,588.18 and 5,782.36

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Solution

The fourth proportional to 7,670.01, 10,588.18 and 5,782.36 is: 7,982.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.01 : 10,588.18 = 5,782.36 : x
  2. Step 2: Convert to fraction form
    7,670.01/10,588.18 = 5,782.36/x
  3. Step 3: Cross multiply
    7,670.01x = 10,588.18 × 5,782.36
  4. Step 4: Simplify right side
    7,670.01x = 61,224,668.50
  5. Step 5: Solve for x
    x = 61,224,668.50/7,670.01
  6. Step 6: Final answer
    x = 7,982.35

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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.