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Finding the Fourth Proportional to 6,937.60, 10,457.32 and 6,536.08

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Solution

The fourth proportional to 6,937.60, 10,457.32 and 6,536.08 is: 9,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.60 : 10,457.32 = 6,536.08 : x
  2. Step 2: Convert to fraction form
    6,937.60/10,457.32 = 6,536.08/x
  3. Step 3: Cross multiply
    6,937.60x = 10,457.32 × 6,536.08
  4. Step 4: Simplify right side
    6,937.60x = 68,349,880.11
  5. Step 5: Solve for x
    x = 68,349,880.11/6,937.60
  6. Step 6: Final answer
    x = 9,852.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.