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Finding the Fourth Proportional to 10,573.86, 14,590.35 and 6,544.74

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Solution

The fourth proportional to 10,573.86, 14,590.35 and 6,544.74 is: 9,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.86 : 14,590.35 = 6,544.74 : x
  2. Step 2: Convert to fraction form
    10,573.86/14,590.35 = 6,544.74/x
  3. Step 3: Cross multiply
    10,573.86x = 14,590.35 × 6,544.74
  4. Step 4: Simplify right side
    10,573.86x = 95,490,047.26
  5. Step 5: Solve for x
    x = 95,490,047.26/10,573.86
  6. Step 6: Final answer
    x = 9,030.77

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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.