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Finding the Fourth Proportional to 7,464.01, 10,300.04 and 4,106.63

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Solution

The fourth proportional to 7,464.01, 10,300.04 and 4,106.63 is: 5,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,464.01 : 10,300.04 = 4,106.63 : x
  2. Step 2: Convert to fraction form
    7,464.01/10,300.04 = 4,106.63/x
  3. Step 3: Cross multiply
    7,464.01x = 10,300.04 × 4,106.63
  4. Step 4: Simplify right side
    7,464.01x = 42,298,412.03
  5. Step 5: Solve for x
    x = 42,298,412.03/7,464.01
  6. Step 6: Final answer
    x = 5,666.98

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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.