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Finding the Fourth Proportional to 10,495, 14,482.76 and 5,779.16

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Solution

The fourth proportional to 10,495, 14,482.76 and 5,779.16 is: 7,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495 : 14,482.76 = 5,779.16 : x
  2. Step 2: Convert to fraction form
    10,495/14,482.76 = 5,779.16/x
  3. Step 3: Cross multiply
    10,495x = 14,482.76 × 5,779.16
  4. Step 4: Simplify right side
    10,495x = 83,698,187.28
  5. Step 5: Solve for x
    x = 83,698,187.28/10,495
  6. Step 6: Final answer
    x = 7,975.05

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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.