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Finding the Fourth Proportional to 7,666.42, 10,580.04 and 4,681.77

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Solution

The fourth proportional to 7,666.42, 10,580.04 and 4,681.77 is: 6,461.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.42 : 10,580.04 = 4,681.77 : x
  2. Step 2: Convert to fraction form
    7,666.42/10,580.04 = 4,681.77/x
  3. Step 3: Cross multiply
    7,666.42x = 10,580.04 × 4,681.77
  4. Step 4: Simplify right side
    7,666.42x = 49,533,313.87
  5. Step 5: Solve for x
    x = 49,533,313.87/7,666.42
  6. Step 6: Final answer
    x = 6,461.07

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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.