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Finding the Fourth Proportional to 10,477.37, 14,458.01 and 6,228.24

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Solution

The fourth proportional to 10,477.37, 14,458.01 and 6,228.24 is: 8,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.37 : 14,458.01 = 6,228.24 : x
  2. Step 2: Convert to fraction form
    10,477.37/14,458.01 = 6,228.24/x
  3. Step 3: Cross multiply
    10,477.37x = 14,458.01 × 6,228.24
  4. Step 4: Simplify right side
    10,477.37x = 90,047,925.06
  5. Step 5: Solve for x
    x = 90,047,925.06/10,477.37
  6. Step 6: Final answer
    x = 8,594.52

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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.