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Finding the Fourth Proportional to 10,477.55, 14,465.18 and 6,500.86

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Solution

The fourth proportional to 10,477.55, 14,465.18 and 6,500.86 is: 8,975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.55 : 14,465.18 = 6,500.86 : x
  2. Step 2: Convert to fraction form
    10,477.55/14,465.18 = 6,500.86/x
  3. Step 3: Cross multiply
    10,477.55x = 14,465.18 × 6,500.86
  4. Step 4: Simplify right side
    10,477.55x = 94,036,090.14
  5. Step 5: Solve for x
    x = 94,036,090.14/10,477.55
  6. Step 6: Final answer
    x = 8,975.01

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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.